English

Transposed \delta-Poisson (super)algebra Structures on the Virasoro-like algebra and its Kantor Lie-double

Rings and Algebras 2026-02-06 v3

Abstract

We undertake a study of transposed \delta-Poisson (super)algebra structures on the Virasoro-like algebra and its Kantor Lie-double -- the latter being constructed via Kantor's procedure. This work leads to the finding that, whereas non-trivial \delta-derivations exist solely at \delta=1, non-trivial transposed \delta-Poisson (super)algebra structures are entirely absent.

Keywords

Cite

@article{arxiv.2512.12961,
  title  = {Transposed \delta-Poisson (super)algebra Structures on the Virasoro-like algebra and its Kantor Lie-double},
  author = {Jie Lin and Chengyu Liu and Jingjing Jiang},
  journal= {arXiv preprint arXiv:2512.12961},
  year   = {2026}
}

Comments

35 pages